IGCSE Mathematics (0580) — October–November 2024, Paper 13

24 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.

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Question 1 · 1 mark

Write 6475 correct to the nearest ten.

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Question 2 · 1 mark

Write 0.75 as a fraction.

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Question 3 · 1 mark

A piece of string has length 65.1 cm. The string is cut into 7 equal pieces. Find the length of each piece.

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Question 4 · 1 mark

From the list of numbers 7 19 8 12 3 12 9 7 12, find the mode of these numbers.

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Question 5 · 3 marks

A bag contains 6 red balls, 4 green balls and 2 blue balls. Zia takes a ball from the bag at random. A probability scale shows letters A (at 0), B, C, D, E, F, G (at 1) at equal…

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Question 6 · 4 marks

These are the first four terms of a sequence. 19 26 33 40 Find the next term.

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Question 7 · 2 marks

Simplify. 3p - t - p - 4t

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Question 8 · 2 marks

From the list of numbers 61 62 63 64 65 66 67 68 69, write down a cube number.

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Question 9 · 5 marks

The scale drawing shows the positions of town K and town L. The scale is 1 cm represents 10 km. Find the actual distance between town K and town L.

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Question 10 · 2 marks

The surface area of a cube is 121.5 cm^2. Calculate the length of one side of the cube.

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Question 11 · 4 marks

The diagram shows three lines meeting at a point (NOT TO SCALE). One angle is 80°, with a right angle marked, and an angle w° below. Find the value of w.

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Question 12 · 1 mark

Write down the equation of a line parallel to the line y = 2x.

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Question 13 · 4 marks

Each student in a class of 20 students records the number of coins in their pockets. The table shows the results. Number of coins 0 1 2 3 4 5 6 --- --- --- --- --- --- --- ---…

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Question 14 · 1 mark

Expand 4(x - 3).

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Question 15 · 2 marks

Find the size of an interior angle of a regular 15-sided polygon.

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Question 16 · 2 marks

Rio buys some pens. He sells 63 pens, which is 7/9 of the pens he buys. Work out how many pens he buys.

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Question 17 · 4 marks

Ed has n books. Sam has 3 times as many books as Ed. Jane has 2 books fewer than Sam. The total number of books is 54. Use this information to write down an equation and solve it…

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Question 18 · 3 marks

Without using a calculator, work out 2 1/4 - 1 11/12. You must show all your working and give your answer as a fraction in its simplest form.

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Question 19 · 4 marks

Universal set = {workers in an office}, C = {workers who drink coffee}, T = {workers who drink tea}. 47 people work in the office. 32 people drink tea. The Venn diagram shows 6 in…

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Question 20 · 2 marks

The weight, w grams, of a box is 463.9 grams, correct to 1 decimal place. Complete the statement about the value of w: ......... <= w < .........

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Question 21 · 1 mark

Calculate (6.4 x 10^5) ÷ (2.5 x 10^-7). Give your answer in standard form.

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Question 22 · 2 marks

Mia invests $1270 for 5 years at a rate of 2.1% per year compound interest. Calculate the value of her investment at the end of the 5 years.

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Question 23 · 2 marks

The diagram shows a right-angled triangle (NOT TO SCALE) with hypotenuse 9.7 cm, opposite side x cm, and angle 42°. Calculate the value of x.

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Question 24 · 2 marks

Two parallelograms A and B are shown (NOT TO SCALE). Shape A has sides x cm and 6.75 cm; shape B has corresponding sides 3.2 cm and 2.7 cm. Shape A is mathematically similar to…

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